Geometry Questions

Lesson 1 4 Homework HW 1 Find the value of angle b if the pair of angles are complementary Complete problems 1 6 below for independent practice When you are finished check the solutions with your teacher 63 O A 70 OB 140 C 35 OD 20 3 Segment RU is an angle bisector m QRU 70 What is m QRS Q S 2 Find the value of angle b given the pair of angles are supplementary L 650

pair Find mLABD 3 In the figure to the right the two angles form a linear pair Find mzDBC E OTEVE D B 135 C 5x 10 2x 5 F LL 9x 4 Ray HF is an angle bisector of ZEHG mzEHG 68 and mzFHG 9x 2 Find the value of x

EXPLAIN 1 Introducing Proofs Read Explain 1 and complete Your Turn 1 3 adapted from Lesson 1 4 A conjecture is a statement that is believed to be true You can use inductive or deductive reasoning to show or prove that a conjecture is true Inductive reasoning is the process of reasoning that a rule or statement is true because specific cases are true Deductive reasoning is the process of using logic to draw conclusions A conditional statement is a statement that can be written in the form If p then q where p is the hypothesis and q is the conclusion For example in the conditional statement If 3x 5 13 then x 6 the hypothesis is 3x5 13 and the conclusion is x 6 Most of the Properties of Equality can be written as conditional statements You can use these properties to solve an equation like 3x 5 13 to prove that x 6 Properties of Equality Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality Reflexive Property of Equality Symmetric Property of Equality Transitive Property of Equality Substitution Property of Equality Example Use deductive reasoning to solve the equation Use properties of Equality to justify each step 1 14 3x 4 18 3x If ab then a c b c If ab then a c b c If ab then ac bc If a b and c 0 then ama If a b then b a If a band b c then a c If ab then b can be substituted for a in any expression 6 x x 6 Addition Property of Equality Division Property of Equality Symmetric Property of Equality Your Turn 1 Identify the Property of Equality that is used in each statement If x 2 then 2x 4 5 3a therefore 3a 5 If T 4 then 5T 7 equals 27 If 9 4x and 4x m then 9 m

A Angle bisector Las 26 5x 11 D Definition of Midpoint E Word Bank B Supplementary angles m 18 4m 2 E Complementary Angles 3r B 5r 6 C Segment Addition Postulate 9000 D

1 Use coordinate notation to write the rule that maps each preimage to its image Then identify the transformation Graph the Image R S T to check your answer The coordinate rule is The transformation is lifelong Geometry A Preimage R 4 3 S 1 3 T 4 1 Credit 1 Image R 4 3 S 1 3 T 4 1 R T 5 L4L Geometry A 2020 O X Page 134

I can prove the following theorems angles 9 If AT 2x 1 TL 15 and AL 7x 1 select ALL that are true 1 point A x 5 B x 3 C AT 7 D AT 11 E AL 35 F AL 22 10 If line segment SU is an angle bisector of TSV mZTSV 62 and mzVSU 5x 1 find the value of x 1 point 11 Find the value of q given the angles are a linear pair Using that information find the measurement of ZDBC 1 point I got D 7q 46 3q 6 B Checkpoint Score Total

The ray B y BD is the angle bisector of ZABC and mLABC 110 Find mzABD Lesson 1 2 1 point O B 5 If ray RS bisects OQ name two angles that are complementary Name two angles that are supplementary Lesson 1 2 1 point S D R C Q 4 Ray RU bisects ZQRS If mZSRU 50 and m2QRU x 10 Find the value of x Find mzQRS Lesson 1 2 1 point Q F t 70 6 m2HGF 145 mLEGF 110 Find the measure of ZHGE Lesson 1 2 1 point G H E S

2 Find the midpoint and length distance between each pair of points Lesson 1 1 2 point each Midpoint Formula x x2 Y y2 Distance Formula x x y y 2 a 4 7 and 2 9 Midpoint b 5 5 and 1 3 Midpoint Length Length is Length Length is

Identify the acidic and basic amino acids in the active site in the given diagram Drag the appropriate amino acids to their respective bins Acidic CH 2 c 0 NH H N Basic CH CH OH CH COO H N Neutral CH 3 NH NH Reset Help

O Lesson 1 4 Checkpoint Once you have completed the above problems and checked your solutions complete the Lesson Checkpoint below Complete the Lesson Reflection above by circling your current understanding of the Learning Goal 1 20RS and ZSRQ are a linear pair If mLORS mSRQ 3x 6 find x ST poin R PO Getting there Q If the Illuminate growth benchmark is completed during this LEP check the box to the right Got it

1 The two angles are supplementary angles If m21 45 then what is the measure of 22

29 Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement Then find its scale factor 30 y B k 1 Logo H gaits y A B

1 Assuming counterclockwise rotations where would the following land Aelavkea 1 216 degree rotation of D about F 0 432 degree rotation of EA about F 144 degree rotation of ZDFC about F Be E

2 Visualize diagram the face of a traditional clock displaying the time 3 30 pm Precisely how many degrees exist between the hour hand minute hand

What type of reasoning is used in the story below Is it poor or strong logic Why Dan noticed that each of the four times he ate a hamburger and shake at the Fast Food Emporium he got a poor grade on a Spanish test that day He conjectures that he should eat only Mexican food on the day of a Spanish test

U What is the value of x 3 B 5 12 T S 3x 20 cm

Label each triangle below as ABC Then transform each according to the rule Finally classify the transformation or devise a rule for it x y x y 13 9 Transformation of O 14 x y x 7 y 5 Transformation 6

15 Rotate the figure 90 clockwise about the origin 19 Rule x y 6 mwoll ayana Tung bongo astsupa DE CE bias te

27 Find the measure of the angles 20x 5 24x 1

Does the design below have rotational symmetry If so by how many degrees Bat How m

Use the figure below to find only one angle that fits each description 7 m212 8 m 12 9 m 12 10 m 12 because of corresponding angles because of alternate interior angles sumitno12 tical angles 10 5 6 because of vertical 180 because of consecutive angles 9 10 13 14 HB 3 4 seanl 7 8 ried 11 12 15 16

Find the missing term 19 1 1 2 3 5 8 21 Draw the next shape in each pattern 20

5 How many lines of reflection symmetry does the design below have Show your thinking LS Clishib

28 Find the measure of angle A A x 34 x 64

16 What is the one remaining type of transformation that is not on this test page Is that remaining type of transformation rigid or non rigid

Find the lengths x and y in the figure below y 22 3 16 5 16

Sketch label and mark the figure described below 11 Isosceles right triangle ABC with AM where M is the midpoint of base BC SSF 12 True or False If the side of an octagon has length 3 cm then its perimeter is 24 cm

Solve for the variables Figures may not be drawn to scale 5 3x 8 2x 12 1300

5 O H E 3 4 5 6 Stateless Nation Kurds An ancient group with a distinctive language and culture and concentrate in Turkey Iran and Iraq Smaller numbers live in Syria Armenia and Azerbaijan Ethnic Enclave completely surrounded by another state but not controlling it Bretons and Basques in France In France the concept of being French permeates virtually everyone who lives there Nevertheless two minorities on the mainland are distinctly non French the Basques of the southwest and the Bretons of The peninsula known as Brittany Perfect Nation State Icelanders Although they are of Northern European origin the people who live on the island of Iceland have evolved as a nation of their own Virtually the entire population of Iceland is today comprised of Icelanders and few Icelanders live anywhere else in the world Another example is Japan Occupied by a distinct nation or people Bi National State Flemings and Walloons in Belgium Although the

Ann planted daisies in her garden After a month she measured the height of each daisy Daisy heights 0 2 6 center 3 X X x X 4 5 Number of inches 6 spread 7 7 center X x ta Complete the sentences The median of the data is 7 inches It describes the spread of the distribution X 10 7 spread

If these two shapes are similar what is the measure of the missing length q K 75 m 9 15 m 9 meters 9m

Answer all of the following questions All questions must be solved using Excel formulas or functions Use the functions in Excel to solve for the missing item in each row Rate NPER pmt PV FV 5 8 100 1 000 Q1 9 10 0 Q2 4 8 Q4 Q5 20 Q3 50 000 0 1 000 0 2 000 8 12 000 0 5 000 7 000

Put the events in order of increasing probability P 0 P 1 You roll a 6 sided die and it does not land on 1 You pull a green ball from a jar of all pink balls On a spinner with just 3 and 5 you spin an odd number You roll a 6 sided die and it lands on 5 or 6 You flip a dime and it lands on tails

2 of 3 S kipped eBook Print eferences 2 Complete the below table to calculate income statement data in common size percents Note Round your percentage answers to 2 decimal places KORBIN COMPANY Common Size Comparative Income Statements For Years Ended December 31 2021 2020 and 2019 2021 2020 Sales Cost of goods sold Gross profit Selling expenses Administrative expenses Total expenses Income before taxes Income tax expense Net income 2019

Find the values of m and n me G 15

38 Given BC AD BC AD Prove AB CD Statements 1 BC AD 2 4BCA DAC 4 AC AC 5 A Reasons 2 3 given D

Directions Give each trig ratio as a fraction in simplest form 1 D Rimeti 29 F 20 E This is a 2 page document work 20 TPI Sin D Cos D Tan D Sin E Cos E Tan E

1 ABC geninde m B 60 AC 12 3 cm ise genin evrel emberinin yar ap ka cm dir A 12 3 bin B 9 3 A C 6 3 106 D 12 Q E 9 ossa Me OA

14 The bottom of a ladder must be placed 3 feet from a wall The ladder is 12 feet long How far above the ground does the ladder touch the wall CH

11 In a computer catalog a computer monitor is listed as being 19 inches This distance is the diagonal distance across the screen If the screen measures 10 inches in height what is the actual width of the screen to the nearest inch 10

2 Givens AVD 3x 17 DVC Sx 3 Prove m4BVC 77 Statements Reasons

Find all solutions of the given equation Enter your answers as a comma separated list Let k be any integer Round terms to two decimal places where appropria 3 sec 0 4 0 8 x n 6 2 rad

d K ces 1 Compute debt and equity ratio for the current year and one year ago Current Year 1 Year Ago Current Year 1 Year Ago Numerator Numerator Debt Ratio 1 1 1 1 Equity Ratio 1 1 1 1 Denominator Denominator 11 11 Equity Ratio Equity ratio Debt Ratio Debt ratio

Solve the given equation Enter your answers as a comma separated list Let k be any integer Round terms to three decimal places where appropriate If there is no solution enter NO SOLUTION sin 0 cos 0 5 sin 8 0 0 MY NOW

Solve the given equation Enter your answers as a comma separated list Let k be any integer Round terms to three decimal places where appropriate If there is no solution enter NO SOB 5 tan 0 sin 0 4 tan 0 0 0

Solve the given equation Enter your answers as a comma separated list Let k be any integer Round terms to three decimal places where appropriate If there is no solution enter tan 0 9 2 cos 0 1 0 0

The measures of the angles of a triangle are shown in the figure below Solve for x 5x 6 106 43

Find all solutions of the given equation Enter your answers as a comma separated list Let k be any integer Round terms to two decimal places where appropriate 5 sin 0 1 0 0 rad

Find all solutions of the given equation Enter your answers as a comma separated list Let k be any integer Round terms to two decimal places where appropriate 3 sec 0 4 0 0 rad

Solve the given equation Enter your answers as a comma separated list Let k be any integer 2 2 0 sin 8 rad List six specific solutions 0 rad